3 ms·

Here's an example of penrose tiles: https://dglittle.github.io/cdn/penrose002.html https://dglittle.github.io/cdn/penrose002.html It's an infinite plane of ti

• iainmerrick 6y ago
  Just to close the loop here, Penrose is also famous (to his readers, anyway) for his beautiful hand-drawn diagrams and illustrations. So it’s a terrific name for this project.
• jcranmer 6y ago
  And has five-fold symmetry, which is impossible for wallpaper groups. The discovery of Penrose tilings is partially tangled up with the discovery of quasicrystals, where researchers found minerals with 5-fold and 10-fold symmetry that ought to have been mathematically impossible to exist. Turns out that the Crystallographic Restriction Theorem has an important caveat that people neglected up until the 1980s: it assumes that you have to have translational symmetry, which Penrose tilings do not.